42516 has 18 divisors (see below), whose sum is σ = 107562. Its totient is φ = 14160.

The previous prime is 42509. The next prime is 42533. The reversal of 42516 is 61524.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 900 = 204^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×42516² = 3615220512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

42516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555 + ... + 626.

2⁴²⁵¹⁶ is an apocalyptic number.

It is an amenable number.

42516 is an abundant number, since it is smaller than the sum of its proper divisors (65046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42516 is a wasteful number, since it uses less digits than its factorization.

42516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1186 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 42516 is about 206.1940833293. The cubic root of 42516 is about 34.9020389993.

It can be divided in two parts, 425 and 16, that added together give a square (441 = 21²).

The spelling of 42516 in words is "forty-two thousand, five hundred sixteen".